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What is the negation of the follwoing conditional statement? "If a parallelogram has four congruent sides then it is a rhombus".

Respuesta :

texaschic101
negation...means put " not " in both the hypothesis and conclusion

if a parallelogram DOES NOT have 4 congruent sides, then it is NOT a rhombus.

Answer:

The negation of the given statement is:

 A parallelogram has four congruent sides and it is not a rhombus.

Step-by-step explanation:

We know that for any conditional statement of the type:

   If p then  q

where p is the hypotheses and q is the conclusion then the negation of the statement is given by:

         p and not q.

Here we are given a conditional statement as:

"If a parallelogram has four congruent sides then it is a rhombus".

Hence, the negation of this statement will be:

A parallelogram has four congruent sides and it is not a rhombus.